Two families of mixed finite elements for second order elliptic problems
type: Item
instance of: scholarly article
title: Two families of mixed finite elements for second order elliptic problems
zbMATH Open document ID: 0599.65072
DOI: 10.1007/BF01389710
author: Jim jun. Douglas
author: Franco Brezzi
author: L. Donatella Marini
published in: Numerische Mathematik
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133032
review text: Two families of mixed finite elements are introduced in order to deal with second order elliptic problems. The asymptotic errors are the same as in the usual Raviart-Thomas-Nedelec spaces, but the new spaces have substantially smaller dimension; this fact should imply a greater computational efficiency, because the discretizations with the new spaces lead to algebraic systems of smaller order.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 3967847
zbMATH Keywords: mixed finite elements
zbMATH Keywords: asymptotic errors
zbMATH Keywords: Raviart-Thomas-Nedelec spaces
zbMATH Keywords: computational efficiency
Wikidata QID: Q57386822
reviewed by: Juan Pedro Milaszewicz
MaRDI profile type: Publication
cites work: Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
cites work: Q4105995
cites work: Q3721743
cites work: Q3750954
cites work: Q3940772
cites work: Global Estimates for Mixed Methods for Second Order Elliptic Equations
cites work: Polynomial Approximation of Functions in Sobolev Spaces
cites work: Q4131800
cites work: Q4131889
cites work: Mixed finite elements in \(\mathbb{R}^3\)
cites work: Q2550279
cites work: Q4136469
OpenAlex ID: W2051682834
description: scientific article; zbMATH DE number 3967847